I recently got a job offer to work in a hospital laboratory of a medical
college. Is it true that an employee of a college affiliate is exempted from the
yearly H1-B cap?

Answer:

Yes, the employees of a college affiliate are exempted from the H1-B cap. One of the
H1-B cap exemptions is for US institutions of higher education, generally colleges or universities. Nonprofit affiliates
of these institutions of higher education are also exempt from the cap (such as
hospital of a medical college).

The petitioning hospital must demonstrate its affiliation with a college or
university. It is required to show documentation to support the claim of affiliation.